10350434304 has 144 divisors (see below), whose sum is σ = 34164945360. Its totient is φ = 2957230080.

The previous prime is 10350434299. The next prime is 10350434321. The reversal of 10350434304 is 40343405301.

10350434304 is a `hidden beast` number, since 1 + 0 + 350 + 4 + 3 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88914 + ... + 169134.

It is an arithmetic number, because the mean of its divisors is an integer number (237256565).

Almost surely, 2^10350434304 is an apocalyptic number.

10350434304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10350434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082472680).

10350434304 is an abundant number, since it is smaller than the sum of its proper divisors (23814511056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10350434304 is an equidigital number, since it uses as much as digits as its factorization.

10350434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80256 (or 80233 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10350434304 its reverse (40343405301), we get a palindrome (50693839605).

The spelling of 10350434304 in words is "ten billion, three hundred fifty million, four hundred thirty-four thousand, three hundred four".